Density Matrix Recursion Method: Genuine Multisite Entanglement Distinguishes Odd from Even Quantum Heisenberg Ladders

Abstract

We introduce an analytical iterative method, the density matrix recursion method, to generate arbitrary reduced density matrices of superpositions of short-range dimer coverings on periodic or non-periodic quantum spin-1/2 ladder lattices, with an arbitrary number of legs. The method can be used to calculate bipartite as well as multipartite physical properties, including bipartite and multi-partite entanglement. We apply this technique to distinguish between even- and odd-legged ladders. Specifically, we show that while genuine multi-partite entanglement decreases with increasing system size for the even-legged ladder states, it does the opposite for odd-legged ones.

13 pages, 3 figures, iopart.cls, final edited version

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Cited by in corpus (14)

• Scaling of genuine multiparticle entanglement at a quantum phase transition
• Genuine Multipartite Entanglement Trends in Gapless-gapped Transitions of Quantum Spin Systems
• Generalized Geometric Measure of Entanglement for Multiparty Mixed States
• Multipartite Entanglement Accumulation in Quantum States: Localizable Generalized Geometric Measure
• Maximally dense coding capable quantum states
• Characterizing Genuine Multisite Entanglement in Isotropic Spin Lattices
• Detecting phase boundaries of quantum spin-1/2 XXZ ladder via bipartite and multipartite entanglement transitions
• Enhancing robustness of multiparty quantum correlations using weak measurement
• Patterns of Genuine Multipartite Entanglement in Frustrated Quantum Spin Systems
• Effect of long-range interactions on multipartite entanglement in Heisenberg chains
• Analytical recursive method to ascertain multisite entanglement in doped quantum spin ladders
• Tensor-network approach to compute genuine multisite entanglement in infinite quantum spin chains
• Response to defects in multi- and bipartite entanglement of isotropic quantum spin networks
• Estimating entanglement in 2D Heisenberg model in the strong rung-coupling limit